Monday, September 24, 2012

Roman Numerals Adding Answers


Introduction to Roman numerals:
Roman numerals are a numerals system of ancient Rome based on letters of the alphabet, which are combined to signify the sum (or in some cases, the difference) of their values. The first ten Roman numerals are as follows:

I, II, III, IV, V, VI, VII, VIII, IX, and X.

In this article we shall discuss the adding Roman numerals with answers.

(Source: Wikipedia)

Letters in Roman Numerals:

There are seven letters in Roman numerals. These letters are used for adding numerals.

They are the following:

I in decimal is one.

V in decimal is five.

X in decimal is Ten.

L in decimal is fifty.

C in decimal is hundred.

D in decimal is five hundred.

M in decimal is thousand.

Where I, V, X, L, C, D, M.

The rule for adding Roman numerals is:

In order to get answers for adding Roman numerals we must follow the following rules.

Add the amount of the Roman value if one or more letters are located after another letter of larger value.

Subtract the amount of the Roman value if one or more letters are located before another letter of larger value.


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Example Problems for Adding Roman Numerals with Answers:

Example 1:

Add the Roman numerals XV and IX.

Solution:

The given Roman numerals are XV and IX.

XV = 10+5 = 15.

IX = 10-1 = 9

Then adding the Roman numerals XV and IX we get

15+9 = 24

19 can be written as 10+5+ (5-1)

10 in Roman numerals as X

5 in Roman numerals as V

1 in Roman numerals as I

24 in Roman numerals as XXIV.

Finally the answers for adding XV and IX is  XXIV.

Example 2:

Add the Roman numerals XIV and CX.

Solution:

The given Roman numerals are XIV and CX.

XIV = 10+5-1 = 14.

CX = 100+10 = 110

Then adding the Roman numerals XIV and CX we get

14+110 = 124

124 can be written as 100+10+10+ (5-1)

100 in Roman numerals as C

10 in Roman numerals as X

5 in Roman numerals as V

1 in Roman numerals as I

124 in Roman numerals as CXXIV.

Finally the answers for adding XIV and CX is  CXVIV.

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